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Finding the Fourth Proportional to 5,323.24, 7,986.06 and 1,625.80

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Solution

The fourth proportional to 5,323.24, 7,986.06 and 1,625.80 is: 2,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.24 : 7,986.06 = 1,625.80 : x
  2. Step 2: Convert to fraction form
    5,323.24/7,986.06 = 1,625.80/x
  3. Step 3: Cross multiply
    5,323.24x = 7,986.06 × 1,625.80
  4. Step 4: Simplify right side
    5,323.24x = 12,983,736.35
  5. Step 5: Solve for x
    x = 12,983,736.35/5,323.24
  6. Step 6: Final answer
    x = 2,439.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.